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Question: Answered & Verified by Expert
If the pressure of a gas increases by $2 \%$ at constant volume, then its temperature
PhysicsKinetic Theory of GasesAP EAMCETAP EAMCET 2023 (18 May Shift 1)
Options:
  • A increases by $2 \%$
  • B decreases by $2 \%$
  • C does not change
  • D decreases by $1 \%$
Solution:
2752 Upvotes Verified Answer
The correct answer is: increases by $2 \%$
Using ideal gas equation,
$\mathrm{PV}=\mathrm{nRT}$
Volume is constant,
$\begin{aligned} & \frac{P}{T}=\frac{n R}{V}=\text { constant } \\ & P \propto T\end{aligned}$
If pressure increase by $2 \%$ than temperature is also increase by $2 \%$

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